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Finding the Fourth Proportional to 8,380.98, 11,565.77 and 4,654.98

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Solution

The fourth proportional to 8,380.98, 11,565.77 and 4,654.98 is: 6,423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.98 : 11,565.77 = 4,654.98 : x
  2. Step 2: Convert to fraction form
    8,380.98/11,565.77 = 4,654.98/x
  3. Step 3: Cross multiply
    8,380.98x = 11,565.77 × 4,654.98
  4. Step 4: Simplify right side
    8,380.98x = 53,838,404.76
  5. Step 5: Solve for x
    x = 53,838,404.76/8,380.98
  6. Step 6: Final answer
    x = 6,423.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.